Seconded on guns of the patriots. I'd worked hard to sensibly take territory, and I had the whole left side of the screen, however it was separated by a wide road with no cover on either side of it for some ways. Even though the Humanists were in a panic spiral, it took me as long to kill the reinforcements as it did for reinforcements to spawn.
So, there was basically no way to approach the other side. Even with everyone panicking there's a good chance one or two humanists would get a shot off, meaning I'd need to send big numbers across at once. Except, there was a 30-60% chance a bunch of enemies were going to spawn above and below them, and with 1st turn initiative shred them with their better firepower.
Honestly I ctrl-D ctrl-J'ed it. If it weren't for freshness, I could camp and pull weaponry off the reinforcement corpses until I got a good roll and send folks across and kill the 2 dogs. As it was, case of "life's too short"
Do reinforcements ever peter out, is there a set number of waves? But I agree, an explicit timer like the supply ship missiions, that is longer than 5 or so turns, would be a good fix